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Yang—mills fields with external current

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Abstract

A procedure for quantizing a non-Abelian gauge theory with Lagrangian

$$L = - \frac{1}{4}F_{\mu v}^a F_a^{\mu v} + J_a^\mu V_\mu ^a$$

near a nontrivial classical solution is considered. The theories are classified with respect to the external current. The gluon propagator in a model spherically symmetric non-Abelian field is constructed and investigated.

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Authors and Affiliations

  1. Moscow Institute of Radio Technology, Electronics, and Automation (Technical University), USSR

    A. S. Vshivtsev & D. V. Peregudov

Authors
  1. A. S. Vshivtsev
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  2. D. V. Peregudov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 3, pp. 435–450, September, 1995.

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Vshivtsev, A.S., Peregudov, D.V. Yang—mills fields with external current. Theor Math Phys 104, 1108–1119 (1995). https://doi.org/10.1007/BF02068743

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  • DOI: https://doi.org/10.1007/BF02068743

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